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kozerog [31]
3 years ago
11

Tom wants to reach a second floor window on a house that is 20 feet above ground. If he must put the ladder at a 70 degree angle

to the ground, how long must the ladder be?
Mathematics
1 answer:
LuckyWell [14K]3 years ago
7 0
Assuming the house is parallel to the ground, your triangle is made up by the house, the ground, and the ladder. Using sin(x) = opposite/hypotenuse on the angle 70 degrees, you would have sin(70) = 20/x (because 20 is the side opposite of the angle connecting the ladder and the ground)
--> simplify sin(70) * x = 20 --> x = 20 / sin(70 
--> substitute (and make sure your calculator in in degrees) x= 21. 284
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